Propagator mixing renormalization for Majorana fermions

Abstract

We consider a mixed system of unstable Majorana fermions in a general parity-nonconserving theory and renormalize its propagator matrix to all orders in the pole scheme, in which the squares of the renormalized masses are identified with the complex pole positions and the wave-function renormalization (WFR) matrices are adjusted in compliance with the Lehmann-Symanzik-Zimmermann reduction formalism. In contrast to the case of unstable Dirac fermions, the WFR matrices of the in and out states are uniquely fixed, while they again bifurcate in the sense that they are no longer related by pseudo-Hermitian conjugation. We present closed analytic expressions for the renormalization constants in terms of the scalar, pseudoscalar, vector, and pseudovector parts of the unrenormalized self-energy matrix, which is computable from the one-particle-irreducible Feynman diagrams of the flavor transitions, as well as their expansions through two loops. In the case of stable Majorana fermions, the well-known one-loop results are recovered.

arXiv comment20 pages, matches journal version. arXiv admin note: text overlap with arXiv:1308.3140

References in corpus (30)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Higgs mass and vacuum stability in the Standard Model at NNLO
• Investigating the near-criticality of the Higgs boson
• Higgs boson mass and new physics
• The Nielsen Identities of the SM and the definition of mass
• On the relation between the fermion pole mass and MSbar Yukawa coupling in the standard model
• Top-quark pole mass
• Practical Algebraic Renormalization
• Mixing Renormalization in Majorana Neutrino Theories
• O(αα_s) correction to the pole mass of the t-quark within the Standard Model
• The Renormalization of the Electroweak Standard Model to All Orders
• Stability and renormalization of Yang-Mills theory with Background Field Method: a regularization independent proof
• On the difference between the pole and the MSbar masses of the top quark at the electroweak scale
• Radiative Corrections to W and Quark Propagators in the Resonance Region
• Flavour Mixing, Gauge Invariance and Wave-function Renormalisation
• Pole Mass, Width, and Propagators of Unstable Fermions
• Two-Loop $\mathcal{O}({\alpha }_s{G}_F{m}_t^2)$ Corrections to the Fermionic Decay Rates of the Standard-Model Higgs Boson
• On-Mass-Shell Renormalization of Fermion Mixing Matrices
• Pole- versus MS-mass definitions in the electroweak theory
• Simple On-Shell Renormalization Framework for the Cabibbo-Kobayashi-Maskawa Matrix
• A Novel Formulation of Cabibbo-Kobayashi-Maskawa Matrix Renormalization
• Relation between bottom-quark MS-bar Yukawa coupling and pole mass
• All-order renormalization of propagator matrix for fermionic system with flavor mixing
• Renormalization in general theories with inter-generation mixing
• Simple Approach to Renormalize the Cabibbo-Kobayashi-Maskawa Matrix
• On-shell renormalization of the mixing matrices in Majorana neutrino theories
• Novel formulations of CKM matrix renormalization
• About the EW contribution to the relation between pole and MS-masses of the top-quark in the Standard Model
• The standard model in the on-shell scheme

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